The real numbers x and y satisfy the equations: xy - x = 180 and y + xy = 208.
Let the two solutions be (x1, y1 and (x2, y2).
What is the value of x1 + 10y1 + x2 + 10y2

The value of is 317.

Step-by-step explanation:

Let the system of nonlinear equations be:

(1)

(2)

From (1), we clear :

Let apply this resulting expression in (2):

By the Quadratic Formula we obtain the solution of the second order polynomial:

and

And the respective values of are, respectively:

If we know that , , and , then the value of is:

The value of is 317.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.